While \(\mathsf {Tribes}_{\sqrt{n}, \sqrt{n}}\)  demonstrates a quadratic gap between \(\mathsf {R}\)  and \(\mathsf {CG}^{\text{pub}}\) ,
we know the largest gap between \(\mathsf {R}\)  and \(\mathsf {CG}^{\text{pub}}\)  for total functions is at most cubic (since \((\mathsf {bs})^3\)  [1]}, [2]}).
